Minimum Traversal Circles for Layered Manufacturing Application

Authors:
Shuo-Yan Chou;Chang-Chien Chou;Yu-Kumg Chen
Affiliations:
Department of Industrial Management, National Taiwan University of Science and Technology;Department of Industrial Management, National Taiwan University of Science and Technology and Computer Center, Mackay Medicine, Nursing and Management College;Department of Electronic Engineering, Huafan University
Venue:
Proceedings of the 2006 conference on Leading the Web in Concurrent Engineering: Next Generation Concurrent Engineering
Year:
2006

Citing 3
Cited 0

Operations research: deterministic optimization models

Operations research: deterministic optimization models
On some geometric optimization problems in layered manufacturing

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Rapid Prototyping and Manufacturing: Fundamentals of StereoLithography

Rapid Prototyping and Manufacturing: Fundamentals of StereoLithography

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Abstract

In order to simplify the problem of layered manufacturing, each geometrical object on the same plane is approximating by its own minimum circumscribed circle. Therefore, the minimum traversal path between circles can be the based model of the minimum traversal path between scanning geometrical objects. By using the concepts of reflection of light in physics and geometrical mathematics, the equation of the minimum traversal path between three circles is derived in this paper. Since there are eight roots in derivation of the equation, some experiments are to carry out the analysis of these roots. With the analysis and the algorithm provided hereby, the roots are reduced so that much applicability of the equation is verified.